# -*- coding: utf-8 -*-
"""
Terminale NSI
Activité construire un réseau.
"""

class Graph:
    def __init__(self, vertex):
        self.V = vertex
        self.graph = []
 
    def add_edge(self, u, v, w):
        self.graph.append([u, v, w])
 
 
    def search(self, parent, i):
        if parent[i] == i:
            return i
        return self.search(parent, parent[i])
    
    def __repr__(self):
        return str(self.graph)
 
    def apply_union(self, parent, rank, x, y):
        xroot = self.search(parent, x)
        yroot = self.search(parent, y)
        if rank[xroot] < rank[yroot]:
            parent[xroot] = yroot
        elif rank[xroot] > rank[yroot]:
            parent[yroot] = xroot
        else:
            parent[yroot] = xroot
            rank[xroot] += 1
    
    def kruskal(self):
        result = []
        i, e = 0, 0
        self.graph = sorted(self.graph, key=lambda item: item[2])
        parent = []
        rank = []
        for node in range(self.V):
            parent.append(node)
            rank.append(0)
        
        

G=Graph(5)